11269278720 has 1056 divisors, whose sum is σ = 49049395200. Its totient is φ = 2384363520.

The previous prime is 11269278673. The next prime is 11269278731. The reversal of 11269278720 is 2787296211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363525105 + ... + 363525135.

Almost surely, 2^11269278720 is an apocalyptic number.

11269278720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11269278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24524697600).

11269278720 is an abundant number, since it is smaller than the sum of its proper divisors (37780116480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11269278720 is a wasteful number, since it uses less digits than its factorization.

11269278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11269278720 in words is "eleven billion, two hundred sixty-nine million, two hundred seventy-eight thousand, seven hundred twenty".